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arXiv · 1203.0111

Atomic Effect Algebras with the Riesz Decomposition Property

Anatolij Dvurecenskij·Yongjian Xie
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Abstract

We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any $\sigma$-orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states.

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Anatolij Dvurecenskij, Yongjian Xie. 2012-03-01. Atomic Effect Algebras with the Riesz Decomposition Property. https://doi.org/10.1007/s10701-012-9655-7

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